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8.8: Problem-Solving Strategies (reprise Make a Table; Look for a Pattern)

Created by: CK-12

Learning Objectives

At the end of this lesson, students will be able to:

  • Read and understand given problem situations.
  • Make tables and identify patterns.
  • Solve real-world problems using selected strategies as part of a plan.

Vocabulary

Terms introduced in this lesson:

compound interest
population decrease
intensity (loudness) of sound

Teaching Strategies and Tips

Remind students of the four-step problem-solving plan.

In Example 1, students must find the compound interest formula on their own by looking for a pattern. Guide them through the first two years until the pattern becomes evident.

Have students check their answers to the examples presented in this lesson by finding b, the growth or decay rate, instead of looking for a pattern. Have them compute (x \%) A + A = \left ( 1 + \frac{x} {100} \right )A. The method was presented in Examples 6 and 7 in lesson Exponential Growth Functions.

Encourage students to construct tables and look for patterns in Review Questions 1-4. Suggest that they only check their work using explicit formulas.

Error Troubleshooting

In Review Questions 1-4, remind students to convert the percents to decimals.

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CK.MAT.ENG.TE.1.Algebra-I.8.8

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